If A[[1,1/51],[0,1]]. If B [[1,2],[-1,-1...

If `A[[1,1/51],[0,1]]. If B [[1,2],[-1,-1]] A [[-1,-2],[1,1]]` ,then the sum of all the elements of the matrix `sum_(n=1)^(50)B^n` is equal to .

A

`75`

B

`100`

C

`50`

D

`125`

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